Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
X = 25 because 25 · 3/5, you will get 15
Answer:
A
Step-by-step explanation:
sin57° =
=
= 
∠ P = 180° - (90 + 57)° ← sum of angles in triangle
∠ P = 180° - 147° = 33° , then
cos33° =
=
= 
Thus the 2 ratios used to solve for x are A